42205085832960 has 432 divisors, whose sum is σ = 147535006233888. Its totient is φ = 11138420736000.

The previous prime is 42205085832953. The next prime is 42205085833007. The reversal of 42205085832960 is 6923858050224.

42205085832960 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 50 + 8 + 583 + 2 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42205085832897 and 42205085832906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3261340090 + ... + 3261353030.

It is an arithmetic number, because the mean of its divisors is an integer number (341516218134).

Almost surely, 2^{42205085832960} is an apocalyptic number.

42205085832960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42205085832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73767503116944).

42205085832960 is an abundant number, since it is smaller than the sum of its proper divisors (105329920400928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42205085832960 is a wasteful number, since it uses less digits than its factorization.

42205085832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 42205085832960 in words is "forty-two trillion, two hundred five billion, eighty-five million, eight hundred thirty-two thousand, nine hundred sixty".